A Brooklyn man was convicted yesterday of killing a stripper in a robbery and then killing his roommate, who was set to rat him out.

Vladimir Zuran, 40, faces life in prison without parole in the shooting deaths of Veronika Chaschina, 29, who worked as a $600-a-night stripper on Staten Island, and Yuri Bershadski, 33.

Chaschina was found dead in her Sheepshead Bay home in April 2000. About $2,500 cash and jewelry was stolen from her apartment.

Bershadski – who knew Chaschina from the strip club where she worked – was found dead 12 days later in a secluded area of Staten Island. Both victims were shot in the head.

Zuran shot Bershadski in the apartment they shared after Bershadski demanded drugs from him and threatened to tell police about the stripper’s shooting, prosecutors said. Zuran said he killed Bershadski in self-defense.